Quantitative questions and answers

Sample quantitative questions and answers- Directions for next 2 Quantitative questions: Answers the quantitative questions on the basis of the information given below.

In an examination, there are 100 questions divided into three groups A, B and C such that each group contains at least one question. Each question in group A carries 1 mark, each question in group B carries 2 marks and each question in group C carries 3 marks.
It is known that the questions in group A together carry at least 60% of the total marks.

1. If group B contains 23 questions, then how many questions are there in group C?
a. 1
b. 2
c. 3
d. 4
e. Cannot be determined
Answer: e) cannot be determined
Group A carries 1 mark
Group B carries 2 marks
Group C carries 3 marks
Now group A carries at least 60% that means group B and C carry at the most 40% but since we don’t know the actual breakup of B and C we cannot Predict the no. of questions in C.

2. If group C contains 8 questions and group B carries at least 20% of the total marks, which of the following best describes the number of questions in group B?
a. 11 or 12
b. 12or 13
c. 13or 14
d. 14or 15
e. 15 or 16
Answer. b) 12or 13
Group C contains 8 questions that is 24 marks, now group B carries at least 20% that means group C carries at most 20% marks, but 20% correspond to 24 marks which then is the least no of marks in group B but in B each question carries 2 marks so the least no of questions is equal to 24/2 = 12 hence option (2).

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